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Study of the surface bound state of superfluid 3He-B by a new acrostic technique

Research Project

Project/Area Number 14340102
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field 固体物性Ⅱ(磁性・金属・低温)
Research InstitutionTOKYO INSTITUTE OF TECHNOLOGY

Principal Investigator

OKUDA Yuichi  Tokyo Institute of Technology, Graduate School of Science and Engineering, Professor, 大学院・理工学研究科, 教授 (50135670)

Co-Investigator(Kenkyū-buntansha) NOMURA Ryuji  Tokyo Institute of Technology, Graduate School of Science and Engineering, Research Associate, 大学院・理工学研究科, 助手 (00323783)
Project Period (FY) 2002 – 2004
Project Status Completed (Fiscal Year 2004)
Budget Amount *help
¥14,200,000 (Direct Cost: ¥14,200,000)
Fiscal Year 2004: ¥2,800,000 (Direct Cost: ¥2,800,000)
Fiscal Year 2003: ¥4,500,000 (Direct Cost: ¥4,500,000)
Fiscal Year 2002: ¥6,900,000 (Direct Cost: ¥6,900,000)
KeywordsSuperfluid 3He-B / P-wave super fluid / surface bound state / surface elastic wave / transverse acoustic impedance / pair breaking / order parameter collective mode / 粘弾性体 / 超流動3He-B / P-波超流動 / 表面束縛状態 / 表面弾性波 / 横波音響インピーダンス / 対破壊 / オーダーパラメーター集団励起 / フェルミ液体
Research Abstract

3He sets into the P-wave spin-triplet super fluid phase at around 1 mK. Order parameter of the super fluid has a lot of internal degrees of freedom and hence it can have many superfluid phases. Unfortunately, however, there are only two phases realized ; BW-state(B-phase) and ABM-state(A-phase). Superfluid 3He-B is very sensitive against the solid wall. The perpendicular component of the wave function of with respect to the wall, which is denoted as Δ_〓(k), has a property of odd function near the wall. That is, Δ_〓(-k)=-Δ_〓(k). Due to this property, Δ_〓(k) gradually recovers to the bulk value as the distance from the wall increases with the characteristic length of several times of the coherence length ξ, whereasΔ_// exhibits no effect of the wall. ξ is typically several nanometers. As a result of this spatial variation of Δ_〓(k), there comes out the surface state inside the gap at the wall position. This surface state is called as "Andreev surface bound state", which is a typical feature of P-wave superfluid at the boundary. The property of the surface bound state crucially depends on the boundary condition at the wall. If the reflection of quasi-particles at the wall is diffusive(which is often the case with the ordinary wall), the bound state is not δ-function like, but has wider energy width. These surface properties of superfluid 3He-B is, of course, predicted by the theory, has not been studied experimentally yet. The reason is that we had no relevant probing techniques. In the present project, we succeeded in detecting this surface bound state, by the precise measurement of the acoustic shear motion of AC-cut quarts transducer with proper resonance frequencies. The signature of the surface bound state was detected as a kink of in the real part of the impedance and in the cusp of the imaginary part of it. The experimental result is well reproduced by the numerical calculation of the shear impedance by the Green function model.

Report

(4 results)
  • 2004 Annual Research Report   Final Research Report Summary
  • 2003 Annual Research Report
  • 2002 Annual Research Report
  • Research Products

    (23 results)

All 2005 2004 2003 Other

All Journal Article (18 results) Publications (5 results)

  • [Journal Article] Pressure Dependence of Transverse Acoustic Impedance of Superfluid 3He-B2005

    • Author(s)
      Y.Wada, Y.Aoki, M.Saitoh, R.Nomura, Y.Okuda
    • Journal Title

      Physica B (To be published)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Observation of A-B Phase Transition of Superfluid 3He by Transverse Acoustic Response2005

    • Author(s)
      M.Saitoh, Y.Wada, Y.Aoki.R.Nomura, Y.Okuda
    • Journal Title

      Physica B (To be published)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Observation of Surface Andreev Bound States of Superfluid 3He by Transverse Acoustic Impedance Measurements2005

    • Author(s)
      Y.Aoki, Y.Wada, M.Saitoh, R.Nomura, Y.Okuda, Y.Nagato, M.Yamamoto, S.Higashitani, K.Nagai
    • Journal Title

      PRL (Submitted)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Shear Acoustic Response of the Superfluid Helium-32005

    • Author(s)
      Y.Aoki, Y.Wada, M.Saitoh, R.Nomura, Y.Okuda
    • Journal Title

      J.Phys.Chem.Solids

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] SH-SAW Sensor for Superfluid 3He2005

    • Author(s)
      M.Saitoh, Y.Aoki, Y.Wada, A.Ogino, R.Nomura, Y.Okuda
    • Journal Title

      J.Low Temp.Phys. 138

      Pages: 893-898

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Transverse Acoustic Response Measured by AC-cut Quartz Transducer in Superfluid Helium-32005

    • Author(s)
      Y.Aoki, Y.Wada, A.Ogino, M.Saitoh, R.Nomura, Y.Okuda
    • Journal Title

      J.Low Temp.Phys. 138

      Pages: 783-788

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Shear Acoustic Response of the Superfluid Helium-32005

    • Author(s)
      Y.Aoki, Y.Wada, M.Saitoh, R.Nomura, Y.Okuda
    • Journal Title

      J.Phys.Chem.Solids (To be published)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Transverse Acoustic Response Measured by AC-cut Quartz Transducer in Super fluid Helium-32005

    • Author(s)
      Y.Aoki, Y.Wada, A.Ogino, M.Saitoh, R.Nomura, Y.Okuda
    • Journal Title

      J.Low Temp.Phys. 138

      Pages: 783-788

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Shear Acoustic Response of the Superfluid Helium-32005

    • Author(s)
      Y.Aoki, Y.Wada, M.Saitoh, R.Nomura, Y.Okuda
    • Journal Title

      J. Phys. Chem. Solids

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Transverse Acoustic Response Measured by AC-cut Quartz Transducer in Superfluid Helium-32005

    • Author(s)
      Y.Aoki, Y.Wada, A.Ogino, M.Saitoh, R.Nomura, Y.Okuda
    • Journal Title

      J. Low Temp. Phys.

    • Related Report
      2004 Annual Research Report
  • [Journal Article] SH-SAW Sensor for Superfluid 3He2005

    • Author(s)
      M.Saitoh, Y.Aoki, Y.Wada, A.Ogino, R.Nomura, Y.Okuda
    • Journal Title

      J. Low Temp. Phys.

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Application of Surface Acoustic Wave Sensors for Liquid Helium-4 and Helium-32004

    • Author(s)
      Y.Aoki, Y.Wada, Y.Sekimoto, W.Yamaguchi, A.Ogino, M.Saitoh, R.Nomura, Y.Okuda
    • Journal Title

      J.Low Temp.Phys. 134

      Pages: 945-958

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Application of Surface Acoustic Wave Sensors for Liquid Helium-4 and Helium-32004

    • Author(s)
      Y.Aoki, Y.Wada, Y.Sekimoto, W.Yamaguchi, A.Ogino, M.Saitoh, R.Nomura, Y.Okuda
    • Journal Title

      J. Low Temp. Phys. 134

      Pages: 945-958

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Acoustic Properties of Liquid 4He Measured by Rayleigh-SAW2003

    • Author(s)
      Y.Aoki, W.Yamaguchi, Y.Wada, Y.Sekimoto, R.Nomura^*, Y.Okuda
    • Journal Title

      Physica B 329-333

      Pages: 234-235

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Annual Research Report 2004 Final Research Report Summary
  • [Journal Article] Velocity and Damping of the SH-SAW in Normal Liquid 3He2003

    • Author(s)
      Y.Aoki, Y.Sekimoto, Y.Wada, W.Yamaguchi, R.Nomura, Y.Okuda
    • Journal Title

      Physica B 329-333

      Pages: 116-117

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Pressure Dependence of Transverse Acoustic Impedance of Super fluid 3He-B

    • Author(s)
      Y.Wada, Y.Aoki, M.Saitoh, R.Nomura, Y.Okuda
    • Journal Title

      Physica B (To be published)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Observation of A-B Phase Transition of Superfluid 3He by Transverse Acoustic Response

    • Author(s)
      M.Saitoh, Y.Wada, Y.Aoki, R.Nomura, Y.Okuda
    • Journal Title

      Physica B (To be published)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Observation of Surface Andreev Bound States of Super fluid 3He by Transverse Acoustic Impedance Measurements

    • Author(s)
      Y.Aoki, Y.Wada, M.Saitoh, R.Nomura, Y.Okuda, Y.Nagato, M.Yamamoto, S.Higashitani, K.Nagai
    • Journal Title

      PRL (Submitted)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Publications] Y.Aoki, Y.Wada, Y.Sekimoto, W.Yamaguchi, A.Ogino, M.Saitoh, R.Nomura, Y.Okuda: "Application of Surface Acoustic Wave Sensors for Liquid Helium-4 and Helium-3"J.Low Temp.Phys.. 134. 945 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] Y.Aoki, Y.Sekimoto, Y.Wada, W.Yamaguchi, R.Nomura, Y.Okuda: "Velocity and damping of the SH-SAW in normal liquid 3He"Physica. B329-333. 116 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] Y.Aoki, W.Yamaguchi, Y.Wada, Y.Sekimoto, R.Nomura, Y.Okuda: "Acoustic properties of liquid 4He measured by Rayleigh-SAW"Physica. B329-333. 234 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] Y.Aoki, W.Yamaguchi, Y.Wada, Y.Sekimoto, R.Nomura, Y.Okuda: "Acoustic Properties of Liquid ^4He Measured by Rayleigh-SAW"Physica B. (印刷中). (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] Y.Aoki, Y.Sekimoto, Y.Wada, W.Yamaguchi, R.Nomura, Y.Okuda: "Velocity and Damping of the SH-SAW in Normal Liquid ^3He"Physica B. (印刷中). (2003)

    • Related Report
      2002 Annual Research Report

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Published: 2002-04-01   Modified: 2020-05-15  

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